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Identify the function's local extreme values in the given domain, and say where they occur. Graph the function over the given domain. Which of the extreme values, if any, are absolute? f(x)=sqrt(100-x^2), -10 ≤ x ≤ 10 a. Find each local maximum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The function has a local maximum value at one value of x. The maximum value is f(0)=10. (Type integers or simplified fractions.) B. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f()=, f()=, and f()=. (Type integers or simplified fractions.) C. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f()= and f()=. (Type integers or simplified fractions.) D. There are no local maxima. Find each local minimum, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The function has a local minimum value at one value of x. The minimum value is f()=. (Type integers or simplified fractions.) B. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f() and f()= . (Type integers or simplified fractions.) C. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are f()= and f()=. (Type integers or simplified fractions.) D. There are no local minima.